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Finding the Third Proportional to 107,356 and 145,786

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Solution

The third proportional to 107,356 and 145,786 is: 197,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,356 : 145,786 = 145,786 : x
  2. Step 2: Convert to fraction form
    107,356/145,786 = 145,786/x
  3. Step 3: Cross multiply
    107,356x = 145,786 × 145,786
  4. Step 4: Simplify right side
    107,356x = 21,253,557,796
  5. Step 5: Solve for x
    x = 21,253,557,796/107,356
  6. Step 6: Final answer
    x = 197,972.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.